Non-unitary representations of nilpotent groups, I: Cohomologies, extensions and neutral cocycles

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Kissin, Edward; Shulman, Victor S.;

Let λbe a finite-dimensional representation of a connected nilpotent group Gand Ube a unitary representation of G. We investigate the structure of the extensions of λby Uand, correspondingly, the group H1(λ, U)of 1-cohomologies. A spectral criterion of triviality of H1(... View more
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